If the samples have the same mass percentage of same elements , it implies that they have the same empirical formula.
An empirical formula is defined as the simplest positive integer ratio of the atoms present in that compound. It does not tell about the total number of atoms present in that compound.
For example- C2H4O and C4H8 O2 have the same empirical formula i.e. C2H4O.
we can also determine the mass percentage of each element as follows:
1) Total mass of C2H4O = (2×12.0 g/mol) + ( 4×1.0 g/mol) + (1× 16.0 g/mol)
= 44 g/mol
Now Mass percentage of C in C2H4O = [ (2×12.0) / (44 g/mol) ]×100
= 54.5 %
Mass percentage of H in C2H4O = [ (4×1.0) / (44 g/mol) ]×100
= 9.1 %
Mass percentage of O in C2H4O = [ (1×16.0) / (44 g/mol) ]×100
= 36.4 %
2) Similarly, Total mass of C4H8O2 = (4×12.0 g/mol) + ( 8×1.0 g/mol) + (2× 16.0 g/mol)
= 88 g/mol
Now Mass percentage of C in C4H8O2 = [ (4×12.0) / (88 g/mol) ]×100
= 54.5 %
Mass percentage of H in C4H8O2 = [ (8×1.0) / (88 g/mol) ]×100
= 9.1 %
Mass percentage of O in C4H8O2 = [ (2×16.0) / (88 g/mol) ]×100
= 36.4 %
∴ It can be seen that in both the compounds with same empirical formula have same mass percentage of each elements.
Thus, we can say that If the samples have the same mass percentage of same elements , it implies that they have the same empirical formula.